document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=874908>Question 874908</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An accountant rides a bus part of the way to work every day and walks the rest of the way. The bus averages 40mph, and the accountant walks at a speed of 4mph. the distance from home to work is 25 mi, and the total time for the trip is 3 hours. Find how far the account walks and how far he rides the bus.\r<BR>\n" );
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document.write( "How far does the accountant walk?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #527965 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=527965\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An accountant rides a bus part of the way to work every day and walks the rest of the way.<BR>\n" );
document.write( " The bus averages 40mph, and the accountant walks at a speed of 4mph.<BR>\n" );
document.write( " the distance from home to work is 25 mi, and the total time for the trip is 3 hours.<BR>\n" );
document.write( " Find how far the account walks and how far he rides the bus.<BR>\n" );
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document.write( "Let w = distance walked<BR>\n" );
document.write( "the total dist is given as 25 mi, therefore:<BR>\n" );
document.write( "(25-w) = distance by bus<BR>\n" );
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document.write( "Write a time equation; time = dist/speed<BR>\n" );
document.write( "walk time + ride time = 3 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2F4 ALIGN=MIDDLE  ALT=\"w%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2825-w%29%29%2F40 ALIGN=MIDDLE  ALT=\"%28%2825-w%29%29%2F40\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3 <BR>\n" );
document.write( "Multiply by 40, clear the denominators<BR>\n" );
document.write( "10w + 25 - w = 40(3)<BR>\n" );
document.write( "9w = 120 - 25<BR>\n" );
document.write( "9w = 95<BR>\n" );
document.write( "w = 95/9<BR>\n" );
document.write( "w = 10.56 miles walked<BR>\n" );
document.write( "then<BR>\n" );
document.write( "25 - 10.56 = 14.44 mi by bus<BR>\n" );
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document.write( "Check this; find the actual times.<BR>\n" );
document.write( "10.56/4 = 2.64 hrs<BR>\n" );
document.write( "14.44/40 = .36 hrs<BR>\n" );
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document.write( "total time: 3 hrs<BR>\n" );
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